R-layer Mode Theory LXVIII: Numerical R-wave Dynamics, AUP Outer-layer Interference, and Observational Signatures

R-layer Mode Theory LXVIII develops the numerical and observational foundations of the RLMT framework, extending the theoretical results of Volume LXVII into a fully computational and phenomenological setting. This volume constructs detailed numerical simulations of R-waves in the early universe, generates three-dimensional realizations of the AUP-dominant outer R-layer including interference-induced granularity, and derives RLMT predictions for rotation curve residuals, lensing substructure, and wave-like density fluctuations. A quantitative comparison with ultra-light dark matter (ULDM) is performed, identifying robust discriminators in density profiles, fluctuation spectra, and projected observables. The results establish the numerical backbone of RLMT and provide a suite of falsifiable predictions for upcoming high-resolution astrophysical surveys.